WRITE ON ONLY 1 SIDE OF PAPER Any scanned submission must be clear and EASY to Material Requirements for each Assembly Type, resource availability and profit per unit Profit made [$/unit] 4545 Specialized Assembly Fastening Bolts Connection Steel Plate Brackets Type [kg/unit] [kg/unit] [kg/unit] 1 1500 2000 700 2 2000 2500 500 3 1200 1250 800 47 4 2500 1750 550 35 [kg] [kg] 1,000,000 2,200,000 [kg] 500,000 Available A plant that manufactures a variety of specialized steel assemblies for the heavy construction equipment industry is considering introducing 4 new assemblies to the market. The material specifications, amount of resources available and potential profit per unit are provided in the table below. Because of production constraints, the company must use at least 900,000 kg of Steel Plate in its production mix. In addition, for each unit of Assembly Type 2 it produces, it must produce 2.5 (times) of Assembly Type 1. At least 300 Assembly Type1 units must be produced. Assuming the company can sell all products it makes, develop a linear programming (LP) model that can be solved to obtain the optimal manufacturing strategy, to maximize profit. Let the number of units of Type 1, Type 2, Type 3, and Type 4, assemblies be: X1, X2, X3, and X4, respectively.